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The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. 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They satisfy second-order differential equations but not three term recurrence relations, because of the \u0027holes\u0027 in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake, Satoru"}], "nameIdentifiers": [{"nameIdentifier": "105512", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki, Ryu"}], "nameIdentifiers": [{"nameIdentifier": "105513", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-05-08"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "sigma17-020.pdf", "filesize": [{"value": "346.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.", "licensetype": "license_free", "mimetype": "application/pdf", "size": 346600.0, "url": {"label": "sigma17-020.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/19822/files/sigma17-020.pdf"}, "version_id": "7815f547-fc48-4831-aa6f-0466de37db45"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "multi-indexed orthogonal polynomials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Laguerre and Jacobi polynomials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Wronskian formula", "subitem_subject_scheme": "Other"}, {"subitem_subject": "determinant formula", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/00020583", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2018-05-08"}, "publish_date": "2018-05-08", "publish_status": "0", "recid": "19822", "relation": {}, "relation_version_is_last": true, "title": ["Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials"], "weko_shared_id": 3}